[AIS] (alternating) Iteration series: Half-iterate using the AIS?

[Gottfried]

Hey Gottfried,

I think using cosine vs sine is completely arbitrary.

Hi Sheldon -

Ok, it might have been the case that there was some advantage that I had not seen ... For me the best option seemed to be the sine, because I feel that norming x0 where asum(x0)=0 has some flair of natural-ity, and then to search left and right from there to the extrema to find the half-iterates alludes much to a sine wave.

One day I must learn to understand the cauchy-integral and riemann-mapping subjects - perhaps I can ask you another day for some tutoring? Most often I need only the first key-step into a matter and can then proceed on my own. (However, at the moment it could be I don't get my head free enough, the two classes need some attention and special preparation before the break around christmas and new year, but let's see)

So far only for a short response -

Gottfried